Theoretic Arithmetic; In Three Books Containing the Substance of All That Has Been Written on This Subject by Theo of Smyrna, Nicomachus, Iamblichus, and Boetius - Softcover

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ISBN 10: 1150525371 ISBN 13: 9781150525377

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This historic book may have numerous typos, missing text or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1816. Not illustrated. Excerpt: ... CHAPTER I. Vn the manner in which the Pythagoreans philosophized about numbers. The Pythagoreans, turning from the vulgar paths, and delivering their philosophy in secret to those alone who were worthy to receive it, exhibited it to others through mathematical names. Hence they called forms, numbers, as things which are the first separated from impartible union; for the natures which are above forms, are also above separation.1 The all-perfect multitude of forms, therefore, they obscurely signified through the duad; but they indicated the first formal principles by the monad and duad, as not being numbers; and also by the first triad and tetrad, as being the first numbers, the one being odd, and the other even, from which by addition the decad is generated; for the sum of 1, 2, 3, and 4, is ten. But after numbers, in secondary and multifarious lives, intr oducing geometrical prior to physical magnitudes; these also they referred to numbers, as to formal causes and the principles of these; referring the point indeed, as being impartible to the monad, but. ■ Forms subsist at the extremity of the intelligible triad, which triad consists of leing, life, and intellect. But being and life, with all they contain, subsist here involved in impartible union. See my Proclus on the Theology of Plato. Theor. At. L a line as the first interval to the duad and again, a superficies, as having a more abundant interval to the triad; and a solid to the tetrad. They also called, as is evident from the testimony of Aristotle, the first length the duad; for it is not simply length, but the first length, in order that by this they might signify cause. In a similar manner also, they denominated the first breadth, the triad; and the first depth the tetrad. They also referred to fo...

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• Sprache: Englisch
• ISBN 10: 1150525371
• ISBN 13: 9781150525377
• Einband: Tapa blanda
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